Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899081 | Journal of Differential Equations | 2018 | 39 Pages |
Abstract
We consider the inertial Qian-Sheng model of liquid crystals which couples a hyperbolic-type equation involving a second-order material derivative with a forced incompressible Navier-Stokes system. We study the energy law and prove a global well-posedness result. We further provide an example of twist-wave solutions, that is solutions of the coupled system for which the flow vanishes for all times.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Francesco De Anna, Arghir Zarnescu,